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Finding the Fourth Proportional to 844.46, 1,165.34 and 490.35

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Solution

The fourth proportional to 844.46, 1,165.34 and 490.35 is: 676.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.46 : 1,165.34 = 490.35 : x
  2. Step 2: Convert to fraction form
    844.46/1,165.34 = 490.35/x
  3. Step 3: Cross multiply
    844.46x = 1,165.34 × 490.35
  4. Step 4: Simplify right side
    844.46x = 571,424.47
  5. Step 5: Solve for x
    x = 571,424.47/844.46
  6. Step 6: Final answer
    x = 676.67

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.